Pith Number

pith:JX7ZT7SL

pith:2011:JX7ZT7SLC35UCRBPM4RCILWTRR

not attested not anchored not stored refs pending

Critical graphs without triangles: an optimum density construction

Wesley Pegden

arxiv:1101.4417 v2 · 2011-01-24 · math.CO

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{JX7ZT7SLC35UCRBPM4RCILWTRR}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more · Embed verified badge

Record completeness

1 Bitcoin timestamp

2 Internet Archive

3 Author claim open · sign in to claim

4 Citations open

5 Replications open

✓ Portable graph bundle live · download bundle · merged state

The bundle contains the canonical record plus signed events. A mirror can host it anywhere and recompute the same current state with the deterministic merge algorithm.

Receipt and verification

First computed	2026-05-18T03:00:59.601158Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4dff99fe4b16fb41442f6722242ed38c761d6eb2be63d4168aeb25ece8b7cc43

Aliases

arxiv: 1101.4417 · arxiv_version: 1101.4417v2 · doi: 10.48550/arxiv.1101.4417 · pith_short_12: JX7ZT7SLC35U · pith_short_16: JX7ZT7SLC35UCRBP · pith_short_8: JX7ZT7SL

Agent API

Resolver JSON Graph JSON Events JSON Schema Signing key

Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/JX7ZT7SLC35UCRBPM4RCILWTRR \
  | jq -c '.canonical_record' \
  | python3 -c "import sys,json,hashlib; b=json.dumps(json.loads(sys.stdin.read()), sort_keys=True, separators=(',',':'), ensure_ascii=False).encode(); print(hashlib.sha256(b).hexdigest())"
# expect: 4dff99fe4b16fb41442f6722242ed38c761d6eb2be63d4168aeb25ece8b7cc43

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "800f86aef3a53fffb8abe22e1411affab93119a19276f629b17034e59e43e813",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2011-01-24T00:29:54Z",
    "title_canon_sha256": "dc93592dc3e268f74cd764477dff021fe2c6eafdb1f0be5b0dbed0212d4e5668"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1101.4417",
    "kind": "arxiv",
    "version": 2
  }
}